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Finding the Fourth Proportional to 3,199.36, 4,417.32 and 2,452

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Solution

The fourth proportional to 3,199.36, 4,417.32 and 2,452 is: 3,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.36 : 4,417.32 = 2,452 : x
  2. Step 2: Convert to fraction form
    3,199.36/4,417.32 = 2,452/x
  3. Step 3: Cross multiply
    3,199.36x = 4,417.32 × 2,452
  4. Step 4: Simplify right side
    3,199.36x = 10,831,268.64
  5. Step 5: Solve for x
    x = 10,831,268.64/3,199.36
  6. Step 6: Final answer
    x = 3,385.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.